trigonometry homework

Question

Write the following as an equivalent secant expression:  csc62degrees.

You do not need to write the degree symbol in your answer.

Answer 1

Write the following as an equivalent secant expression:  csc62degrees.

You do not need to write the degree symbol in your answer.

Csc 62 = 1/Sin 62

Sin 62 = 1/CSc 62

Secant 62 = 1/ Cos 62

= 1/ sqrt ( 1- sin² 62)

= 1/ sqrt ( 1- 1/Csc² 62)

= Csc62/ sqrt ( Csc² 62 -1)

Answer 2

csc62° = sec(90° - 62°) = sec28°